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Finding the Fourth Proportional to 379,657, 523,937.60 and 209,902.06

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Solution

The fourth proportional to 379,657, 523,937.60 and 209,902.06 is: 289,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,657 : 523,937.60 = 209,902.06 : x
  2. Step 2: Convert to fraction form
    379,657/523,937.60 = 209,902.06/x
  3. Step 3: Cross multiply
    379,657x = 523,937.60 × 209,902.06
  4. Step 4: Simplify right side
    379,657x = 109,975,581,551.46
  5. Step 5: Solve for x
    x = 109,975,581,551.46/379,657
  6. Step 6: Final answer
    x = 289,670.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.